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Finding the Fourth Proportional to 391,410.20, 586,424.10 and 320,907.80

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Solution

The fourth proportional to 391,410.20, 586,424.10 and 320,907.80 is: 480,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,410.20 : 586,424.10 = 320,907.80 : x
  2. Step 2: Convert to fraction form
    391,410.20/586,424.10 = 320,907.80/x
  3. Step 3: Cross multiply
    391,410.20x = 586,424.10 × 320,907.80
  4. Step 4: Simplify right side
    391,410.20x = 188,188,067,797.98
  5. Step 5: Solve for x
    x = 188,188,067,797.98/391,410.20
  6. Step 6: Final answer
    x = 480,795.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.